inverse element
Sign in to saveelement with an inverse with respect to a given mathematical operation; element that can 'undo' the effect of another given element
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Article
In mathematics, the concept of an inverse element generalises the concepts of opposite (−x) and reciprocal (1/x) of numbers.
Given an operation denoted here ∗, and an identity element denoted e, if x ∗ y = e, one says that x is a left inverse of y, and that y is a right inverse of x. (An identity element is an element such that x ∗ e = x and e ∗ y = y for all x and y for which the left-hand sides are defined.)
Connections
section and retraction
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associativity
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binary operation
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rank
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invertible matrix
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natural number
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inverse function
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bijection
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injection
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surjective function
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identity matrix
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identity element
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monoid
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category
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quasigroup
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unit
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mathematics
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Latin
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International Standard Book Number
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integer
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